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Unformatted text preview: integer values of n. The three rules at the start of section 3.2 can now
be used for any integers m and n, not just for positive values. Example 1
Calculate, leaving your answers as fractions:
(a) 3 −2 (b) 2 −1 − 4 −1 (b) 6 4 × 6 −3 5 −3 (c) Solution
1
32
1
=
9 (a) 3 −2 = (b) 2 −1 − 4 −1 = (c) 5 −3 = 11
−
24
1
=
4 1
53
1
=
125 Example 2
Simplify:
(a) 67
69 Solution
(a) 67
= 67−9
9
6 = 6 −2 = (b) 1
1
=
2
36
6 6 4 × 6 − 3 = 6 4 + ( − 3) = 6 4 − 3 = 61 = 6 46 (c) (10 )
2 −3 MEP Y9 Practice Book A (c) (10 )
2 −3 = 10 − 6
= 1
10 6 = 1
1000 000 Exercises
1. Write the following numbers as fractions without using any indices:
(a) (b) 2 −3 (c) 10 − 3 (d) 2. 4 −1
7 −2 (e) 4 −3 (f) 6 −2 Copy the following expressions and fill in the missing numbers:
(a) (b) 1
1
=
100 10 (c) 1
1
=
=9
81 9 (d) 1
1
=
=2
16
2 (e) 3. 1
1
=
=7
49 7 1
1
=
10 000 000 10 (f) 1
1
=
=2
1024 2 = 10 Calculate:
(a) 4 −1 + 3 −1 (b) 6 −1 + 2 −1 (c) 5 − 1 − 10 − 1 (d) 10 − 2 − 10 − 3 (e)
4. = 10 4 − 1 − 10 − 1 (f) 6 −1 + 7 −1 Simplify the following expressions giving your answers in the form of a
number to a power:
(a) 4 7 × 4 −6 (b) 5 7 × 5 −3 (c) 74
7 −6 (d) (3 ) (e) (6 ) (f) 8 4 × 8 −9 (g) 72
7 −2 (h) 89
8 −9 −2 −3 47 2 −4 3.3 MEP Y9 Practice Book A 5. Copy each of the following expressions and fill in the missing numbers;
(a) (b) 1
= 10
100 (c) 1
=5
125 (d) 5
=5
54 (e) 6. 1
=3
9 62
=6
63 (f) 22
=2
2 10 Simplify the following expressions:
(a) (b) x7
x9 (c) x4
x8 (d) (x ) (e) 7. x8
x3 1 2
x (f) (x ) 4 6 −8 −4 3 Copy and complete the following statements:
(a) (b) 0.25 = 2 (c) 0.0001 = 10 (d) 0.2 = 5 (e)
8. 0.1 = 10 0.001 = 10 (f) 0.02 = 50 Copy the following expressions and fill in the missing numbers: x4 (a) = x2 (b) x6× x = x2 x
(c) x9× x = x2 (d) x7 = x −2 x
(e) x3 = x4 (f) x 48 (x )
3 = x−6 MEP Y9 Practice Book A 9. Copy the following expressions and fill in the missing numbers:
(a) (b) 1
=5
25 (c) 10. 1
=2
8
1
=9
81 (d) 1
= 10
10 000 1
, express a as a power of c, withou...
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This document was uploaded on 03/03/2014 for the course OLEVEL Mathematic at Beaconhouse School System.
 Fall '13
 Zeeshan

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